Home / 4,072-9,706

Finding the Third Proportional to 4,072 and 9,706

Calculator

Solution

The third proportional to 4,072 and 9,706 is: 23,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072 : 9,706 = 9,706 : x
  2. Step 2: Convert to fraction form
    4,072/9,706 = 9,706/x
  3. Step 3: Cross multiply
    4,072x = 9,706 × 9,706
  4. Step 4: Simplify right side
    4,072x = 94,206,436
  5. Step 5: Solve for x
    x = 94,206,436/4,072
  6. Step 6: Final answer
    x = 23,135.18

Related Problems

Find third proportional to 2,036 and 4,853
Half scale
Find third proportional to 8,144 and 19,412
Double scale
Find third proportional to 4,074 and 9,711
Similar ratio
Find third proportional to 6,108 and 14,559
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.